@article{ILIKKAN CEYLAN2024, 
author = {Aslıhan ILIKKAN CEYLAN and Canan HAZAR GÜLEÇ},
title = {A new double series space derived by factorable matrix and four-dimensional matrix transformations},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {30922-30938},
keywords = {4D factorable matrix, dual spaces, 4D matrix transformations, double sequences, Pringsheim convergence},
url = {https://www.sciopen.com/article/10.3934/math.20241492},
doi = {10.3934/math.20241492},
abstract = {In this study, we introduce a new double series space  |Fa,bu,θ|k using the four dimensional factorable matrix  F and absolute summability method for  k≥1. Also, examining some algebraic and topological properties of  |Fa,bu,θ|k, we show that it is norm isomorphic to the well-known double sequence space  Lk for  1≤k<∞. Furthermore, we determine the  α-,  β(bp)- and  γ-duals of the spaces  |Fa,bu,θ|k for  k≥1. Additionally, we characterize some new four dimensional matrix transformation classes on double series space  |Fa,bu,θ|k. Hence, we extend some important results concerned on Riesz and Cesàro matrix methods to double sequences owing to four dimensional factorable matrix.}
}